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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Wed, 02 Dec 2009 10:39:21 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/02/t1259775667yyy5nnhbjj2idjg.htm/, Retrieved Sat, 27 Apr 2024 13:28:02 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62484, Retrieved Sat, 27 Apr 2024 13:28:02 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

151

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
- R  D      [Standard Deviation-Mean Plot] [waarde Lambda] [2009-12-02 17:39:21] [f97f6131ca109ba89501d75ae11b45c9] [Current]

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Dataseries X:

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Histogram

Boxplots

10
9.2
9.2
9.5
9.6
9.5
9.1
8.9
9
10.1
10.3
10.2
9.6
9.2
9.3
9.4
9.4
9.2
9
9
9
9.8
10
9.8
9.3
9
9
9.1
9.1
9.1
9.2
8.8
8.3
8.4
8.1
7.7
7.9
7.9
8
7.9
7.6
7.1
6.8
6.5
6.9
8.2
8.7
8.3
7.9
7.5
7.8
8.3
8.4
8.2
7.7
7.2
7.3
8.1
8.5
8.4

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62484&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62484&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62484&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	9.55	0.492673596539608	1.4
2	9.39166666666667	0.342340429539033	1
3	8.75833333333333	0.508935311719625	1.6
4	7.65	0.67756247615324	2.2
5	7.94166666666667	0.446111142558838	1.3

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9.55 & 0.492673596539608 & 1.4 \tabularnewline
2 & 9.39166666666667 & 0.342340429539033 & 1 \tabularnewline
3 & 8.75833333333333 & 0.508935311719625 & 1.6 \tabularnewline
4 & 7.65 & 0.67756247615324 & 2.2 \tabularnewline
5 & 7.94166666666667 & 0.446111142558838 & 1.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62484&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]9.55[/C][C]0.492673596539608[/C][C]1.4[/C][/ROW]
[ROW][C]2[/C][C]9.39166666666667[/C][C]0.342340429539033[/C][C]1[/C][/ROW]
[ROW][C]3[/C][C]8.75833333333333[/C][C]0.508935311719625[/C][C]1.6[/C][/ROW]
[ROW][C]4[/C][C]7.65[/C][C]0.67756247615324[/C][C]2.2[/C][/ROW]
[ROW][C]5[/C][C]7.94166666666667[/C][C]0.446111142558838[/C][C]1.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62484&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62484&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	9.55	0.492673596539608	1.4
2	9.39166666666667	0.342340429539033	1
3	8.75833333333333	0.508935311719625	1.6
4	7.65	0.67756247615324	2.2
5	7.94166666666667	0.446111142558838	1.3

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1.28208780983256
beta	-0.0910756364039064
S.D.	0.0640675236446244
T-STAT	-1.42155699522730
p-value	0.250280199194072

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1.28208780983256 \tabularnewline
beta & -0.0910756364039064 \tabularnewline
S.D. & 0.0640675236446244 \tabularnewline
T-STAT & -1.42155699522730 \tabularnewline
p-value & 0.250280199194072 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62484&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.28208780983256[/C][/ROW]
[ROW][C]beta[/C][C]-0.0910756364039064[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0640675236446244[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.42155699522730[/C][/ROW]
[ROW][C]p-value[/C][C]0.250280199194072[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62484&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62484&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1.28208780983256
beta	-0.0910756364039064
S.D.	0.0640675236446244
T-STAT	-1.42155699522730
p-value	0.250280199194072

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.60819391340142
beta	-1.54946581953665
S.D.	1.12621155090064
T-STAT	-1.37582128179872
p-value	0.262599004558291
Lambda	2.54946581953665

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.60819391340142 \tabularnewline
beta & -1.54946581953665 \tabularnewline
S.D. & 1.12621155090064 \tabularnewline
T-STAT & -1.37582128179872 \tabularnewline
p-value & 0.262599004558291 \tabularnewline
Lambda & 2.54946581953665 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62484&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.60819391340142[/C][/ROW]
[ROW][C]beta[/C][C]-1.54946581953665[/C][/ROW]
[ROW][C]S.D.[/C][C]1.12621155090064[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.37582128179872[/C][/ROW]
[ROW][C]p-value[/C][C]0.262599004558291[/C][/ROW]
[ROW][C]Lambda[/C][C]2.54946581953665[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62484&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62484&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.60819391340142
beta	-1.54946581953665
S.D.	1.12621155090064
T-STAT	-1.37582128179872
p-value	0.262599004558291
Lambda	2.54946581953665

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 12 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code